%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : TOP028+2 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:56:38 PM UTC 2026
% Result : Theorem 188.99s 160.26s
% Output : CNFRefutation 189.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 20 unt; 0 def)
% Number of atoms : 344 ( 26 equ)
% Maximal formula atoms : 194 ( 8 avg)
% Number of connectives : 516 ( 215 ~; 221 |; 58 &)
% ( 2 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-4 aty)
% Number of variables : 69 ( 4 sgn 41 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t10_tsp_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v1_tsp_2(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_tsp_2) ).
fof(t7_pcomps_1,axiom,
! [X1] : u1_pre_topc(k2_pcomps_1(X1)) = k1_pcomps_1(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+301.ax',t7_pcomps_1) ).
fof(redefinition_k1_pcomps_1,axiom,
! [X1] : k1_pcomps_1(X1) = k1_zfmisc_1(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+301.ax',redefinition_k1_pcomps_1) ).
fof(t9_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v1_tsp_1(X2,X1)
& ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( r1_tarski(X2,X3)
& v1_tsp_2(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_tsp_2) ).
fof(d8_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_1(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ~ ( r2_hidden(X3,X2)
& r2_hidden(X4,X2)
& X3 != X4
& ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v3_pre_topc(X5,X1)
& r2_hidden(X3,X5)
& ~ r2_hidden(X4,X5) ) )
& ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v3_pre_topc(X5,X1)
& ~ r2_hidden(X3,X5)
& r2_hidden(X4,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+406.ax',d8_tsp_1) ).
fof(t4_subset_1,axiom,
! [X1] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t4_subset_1) ).
fof(t7_ordinal1,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& r1_tarski(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t7_ordinal1) ).
fof(t2_xboole_1,axiom,
! [X1] : r1_tarski(k1_xboole_0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t2_xboole_1) ).
fof(c_0_8,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v1_tsp_2(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t10_tsp_2])]) ).
fof(c_0_9,plain,
! [X14674] : u1_pre_topc(k2_pcomps_1(X14674)) = k1_pcomps_1(X14674),
inference(variable_rename,[status(thm)],[t7_pcomps_1]) ).
fof(c_0_10,plain,
! [X14676] : k1_pcomps_1(X14676) = k1_zfmisc_1(X14676),
inference(variable_rename,[status(thm)],[redefinition_k1_pcomps_1]) ).
fof(c_0_11,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v1_tsp_1(X2,X1)
& ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( r1_tarski(X2,X3)
& v1_tsp_2(X3,X1) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t9_tsp_2]) ).
fof(c_0_12,negated_conjecture,
! [X7575] :
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& ( ~ m1_subset_1(X7575,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v1_tsp_2(X7575,esk1_0) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
cnf(c_0_13,plain,
u1_pre_topc(k2_pcomps_1(X1)) = k1_pcomps_1(X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
k1_pcomps_1(X1) = k1_zfmisc_1(X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_15,plain,
! [X7610,X7611] :
( ( m1_subset_1(esk5_2(X7610,X7611),k1_zfmisc_1(u1_struct_0(X7610)))
| ~ v1_tsp_1(X7611,X7610)
| ~ m1_subset_1(X7611,k1_zfmisc_1(u1_struct_0(X7610)))
| v3_struct_0(X7610)
| ~ v2_pre_topc(X7610)
| ~ l1_pre_topc(X7610) )
& ( r1_tarski(X7611,esk5_2(X7610,X7611))
| ~ v1_tsp_1(X7611,X7610)
| ~ m1_subset_1(X7611,k1_zfmisc_1(u1_struct_0(X7610)))
| v3_struct_0(X7610)
| ~ v2_pre_topc(X7610)
| ~ l1_pre_topc(X7610) )
& ( v1_tsp_2(esk5_2(X7610,X7611),X7610)
| ~ v1_tsp_1(X7611,X7610)
| ~ m1_subset_1(X7611,k1_zfmisc_1(u1_struct_0(X7610)))
| v3_struct_0(X7610)
| ~ v2_pre_topc(X7610)
| ~ l1_pre_topc(X7610) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])]) ).
cnf(c_0_16,negated_conjecture,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v1_tsp_2(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
u1_pre_topc(k2_pcomps_1(X1)) = k1_zfmisc_1(X1),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( m1_subset_1(esk5_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v1_tsp_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_19,plain,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_1(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ~ ( r2_hidden(X3,X2)
& r2_hidden(X4,X2)
& X3 != X4
& ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v3_pre_topc(X5,X1)
& r2_hidden(X3,X5)
& ~ r2_hidden(X4,X5) ) )
& ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v3_pre_topc(X5,X1)
& ~ r2_hidden(X3,X5)
& r2_hidden(X4,X5) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d8_tsp_1]) ).
cnf(c_0_20,negated_conjecture,
( ~ v1_tsp_2(X1,esk1_0)
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(u1_struct_0(esk1_0)))) ),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
( v3_struct_0(X1)
| m1_subset_1(esk5_2(X1,X2),u1_pre_topc(k2_pcomps_1(u1_struct_0(X1))))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_tsp_1(X2,X1)
| ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(u1_struct_0(X1)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_17]),c_0_17]) ).
cnf(c_0_22,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_23,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_24,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_25,plain,
( v1_tsp_2(esk5_2(X1,X2),X1)
| v3_struct_0(X1)
| ~ v1_tsp_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_26,plain,
! [X7619] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X7619)),
inference(variable_rename,[status(thm)],[t4_subset_1]) ).
fof(c_0_27,plain,
! [X7970,X7971] :
( ~ r2_hidden(X7970,X7971)
| ~ r1_tarski(X7971,X7970) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_ordinal1])]) ).
fof(c_0_28,plain,
! [X7726] : r1_tarski(k1_xboole_0,X7726),
inference(variable_rename,[status(thm)],[t2_xboole_1]) ).
fof(c_0_29,plain,
! [X8084,X8085,X8086,X8087,X8092,X8093] :
( ( m1_subset_1(esk44_4(X8084,X8085,X8086,X8087),k1_zfmisc_1(u1_struct_0(X8084)))
| m1_subset_1(esk43_4(X8084,X8085,X8086,X8087),k1_zfmisc_1(u1_struct_0(X8084)))
| ~ r2_hidden(X8086,X8085)
| ~ r2_hidden(X8087,X8085)
| X8086 = X8087
| ~ m1_subset_1(X8087,u1_struct_0(X8084))
| ~ m1_subset_1(X8086,u1_struct_0(X8084))
| ~ v1_tsp_1(X8085,X8084)
| ~ m1_subset_1(X8085,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ l1_pre_topc(X8084) )
& ( v3_pre_topc(esk44_4(X8084,X8085,X8086,X8087),X8084)
| m1_subset_1(esk43_4(X8084,X8085,X8086,X8087),k1_zfmisc_1(u1_struct_0(X8084)))
| ~ r2_hidden(X8086,X8085)
| ~ r2_hidden(X8087,X8085)
| X8086 = X8087
| ~ m1_subset_1(X8087,u1_struct_0(X8084))
| ~ m1_subset_1(X8086,u1_struct_0(X8084))
| ~ v1_tsp_1(X8085,X8084)
| ~ m1_subset_1(X8085,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ l1_pre_topc(X8084) )
& ( ~ r2_hidden(X8086,esk44_4(X8084,X8085,X8086,X8087))
| m1_subset_1(esk43_4(X8084,X8085,X8086,X8087),k1_zfmisc_1(u1_struct_0(X8084)))
| ~ r2_hidden(X8086,X8085)
| ~ r2_hidden(X8087,X8085)
| X8086 = X8087
| ~ m1_subset_1(X8087,u1_struct_0(X8084))
| ~ m1_subset_1(X8086,u1_struct_0(X8084))
| ~ v1_tsp_1(X8085,X8084)
| ~ m1_subset_1(X8085,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ l1_pre_topc(X8084) )
& ( r2_hidden(X8087,esk44_4(X8084,X8085,X8086,X8087))
| m1_subset_1(esk43_4(X8084,X8085,X8086,X8087),k1_zfmisc_1(u1_struct_0(X8084)))
| ~ r2_hidden(X8086,X8085)
| ~ r2_hidden(X8087,X8085)
| X8086 = X8087
| ~ m1_subset_1(X8087,u1_struct_0(X8084))
| ~ m1_subset_1(X8086,u1_struct_0(X8084))
| ~ v1_tsp_1(X8085,X8084)
| ~ m1_subset_1(X8085,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ l1_pre_topc(X8084) )
& ( m1_subset_1(esk44_4(X8084,X8085,X8086,X8087),k1_zfmisc_1(u1_struct_0(X8084)))
| v3_pre_topc(esk43_4(X8084,X8085,X8086,X8087),X8084)
| ~ r2_hidden(X8086,X8085)
| ~ r2_hidden(X8087,X8085)
| X8086 = X8087
| ~ m1_subset_1(X8087,u1_struct_0(X8084))
| ~ m1_subset_1(X8086,u1_struct_0(X8084))
| ~ v1_tsp_1(X8085,X8084)
| ~ m1_subset_1(X8085,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ l1_pre_topc(X8084) )
& ( v3_pre_topc(esk44_4(X8084,X8085,X8086,X8087),X8084)
| v3_pre_topc(esk43_4(X8084,X8085,X8086,X8087),X8084)
| ~ r2_hidden(X8086,X8085)
| ~ r2_hidden(X8087,X8085)
| X8086 = X8087
| ~ m1_subset_1(X8087,u1_struct_0(X8084))
| ~ m1_subset_1(X8086,u1_struct_0(X8084))
| ~ v1_tsp_1(X8085,X8084)
| ~ m1_subset_1(X8085,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ l1_pre_topc(X8084) )
& ( ~ r2_hidden(X8086,esk44_4(X8084,X8085,X8086,X8087))
| v3_pre_topc(esk43_4(X8084,X8085,X8086,X8087),X8084)
| ~ r2_hidden(X8086,X8085)
| ~ r2_hidden(X8087,X8085)
| X8086 = X8087
| ~ m1_subset_1(X8087,u1_struct_0(X8084))
| ~ m1_subset_1(X8086,u1_struct_0(X8084))
| ~ v1_tsp_1(X8085,X8084)
| ~ m1_subset_1(X8085,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ l1_pre_topc(X8084) )
& ( r2_hidden(X8087,esk44_4(X8084,X8085,X8086,X8087))
| v3_pre_topc(esk43_4(X8084,X8085,X8086,X8087),X8084)
| ~ r2_hidden(X8086,X8085)
| ~ r2_hidden(X8087,X8085)
| X8086 = X8087
| ~ m1_subset_1(X8087,u1_struct_0(X8084))
| ~ m1_subset_1(X8086,u1_struct_0(X8084))
| ~ v1_tsp_1(X8085,X8084)
| ~ m1_subset_1(X8085,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ l1_pre_topc(X8084) )
& ( m1_subset_1(esk44_4(X8084,X8085,X8086,X8087),k1_zfmisc_1(u1_struct_0(X8084)))
| r2_hidden(X8086,esk43_4(X8084,X8085,X8086,X8087))
| ~ r2_hidden(X8086,X8085)
| ~ r2_hidden(X8087,X8085)
| X8086 = X8087
| ~ m1_subset_1(X8087,u1_struct_0(X8084))
| ~ m1_subset_1(X8086,u1_struct_0(X8084))
| ~ v1_tsp_1(X8085,X8084)
| ~ m1_subset_1(X8085,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ l1_pre_topc(X8084) )
& ( v3_pre_topc(esk44_4(X8084,X8085,X8086,X8087),X8084)
| r2_hidden(X8086,esk43_4(X8084,X8085,X8086,X8087))
| ~ r2_hidden(X8086,X8085)
| ~ r2_hidden(X8087,X8085)
| X8086 = X8087
| ~ m1_subset_1(X8087,u1_struct_0(X8084))
| ~ m1_subset_1(X8086,u1_struct_0(X8084))
| ~ v1_tsp_1(X8085,X8084)
| ~ m1_subset_1(X8085,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ l1_pre_topc(X8084) )
& ( ~ r2_hidden(X8086,esk44_4(X8084,X8085,X8086,X8087))
| r2_hidden(X8086,esk43_4(X8084,X8085,X8086,X8087))
| ~ r2_hidden(X8086,X8085)
| ~ r2_hidden(X8087,X8085)
| X8086 = X8087
| ~ m1_subset_1(X8087,u1_struct_0(X8084))
| ~ m1_subset_1(X8086,u1_struct_0(X8084))
| ~ v1_tsp_1(X8085,X8084)
| ~ m1_subset_1(X8085,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ l1_pre_topc(X8084) )
& ( r2_hidden(X8087,esk44_4(X8084,X8085,X8086,X8087))
| r2_hidden(X8086,esk43_4(X8084,X8085,X8086,X8087))
| ~ r2_hidden(X8086,X8085)
| ~ r2_hidden(X8087,X8085)
| X8086 = X8087
| ~ m1_subset_1(X8087,u1_struct_0(X8084))
| ~ m1_subset_1(X8086,u1_struct_0(X8084))
| ~ v1_tsp_1(X8085,X8084)
| ~ m1_subset_1(X8085,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ l1_pre_topc(X8084) )
& ( m1_subset_1(esk44_4(X8084,X8085,X8086,X8087),k1_zfmisc_1(u1_struct_0(X8084)))
| ~ r2_hidden(X8087,esk43_4(X8084,X8085,X8086,X8087))
| ~ r2_hidden(X8086,X8085)
| ~ r2_hidden(X8087,X8085)
| X8086 = X8087
| ~ m1_subset_1(X8087,u1_struct_0(X8084))
| ~ m1_subset_1(X8086,u1_struct_0(X8084))
| ~ v1_tsp_1(X8085,X8084)
| ~ m1_subset_1(X8085,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ l1_pre_topc(X8084) )
& ( v3_pre_topc(esk44_4(X8084,X8085,X8086,X8087),X8084)
| ~ r2_hidden(X8087,esk43_4(X8084,X8085,X8086,X8087))
| ~ r2_hidden(X8086,X8085)
| ~ r2_hidden(X8087,X8085)
| X8086 = X8087
| ~ m1_subset_1(X8087,u1_struct_0(X8084))
| ~ m1_subset_1(X8086,u1_struct_0(X8084))
| ~ v1_tsp_1(X8085,X8084)
| ~ m1_subset_1(X8085,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ l1_pre_topc(X8084) )
& ( ~ r2_hidden(X8086,esk44_4(X8084,X8085,X8086,X8087))
| ~ r2_hidden(X8087,esk43_4(X8084,X8085,X8086,X8087))
| ~ r2_hidden(X8086,X8085)
| ~ r2_hidden(X8087,X8085)
| X8086 = X8087
| ~ m1_subset_1(X8087,u1_struct_0(X8084))
| ~ m1_subset_1(X8086,u1_struct_0(X8084))
| ~ v1_tsp_1(X8085,X8084)
| ~ m1_subset_1(X8085,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ l1_pre_topc(X8084) )
& ( r2_hidden(X8087,esk44_4(X8084,X8085,X8086,X8087))
| ~ r2_hidden(X8087,esk43_4(X8084,X8085,X8086,X8087))
| ~ r2_hidden(X8086,X8085)
| ~ r2_hidden(X8087,X8085)
| X8086 = X8087
| ~ m1_subset_1(X8087,u1_struct_0(X8084))
| ~ m1_subset_1(X8086,u1_struct_0(X8084))
| ~ v1_tsp_1(X8085,X8084)
| ~ m1_subset_1(X8085,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ l1_pre_topc(X8084) )
& ( m1_subset_1(esk45_2(X8084,X8085),u1_struct_0(X8084))
| v1_tsp_1(X8085,X8084)
| ~ m1_subset_1(X8085,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ l1_pre_topc(X8084) )
& ( m1_subset_1(esk46_2(X8084,X8085),u1_struct_0(X8084))
| v1_tsp_1(X8085,X8084)
| ~ m1_subset_1(X8085,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ l1_pre_topc(X8084) )
& ( r2_hidden(esk45_2(X8084,X8085),X8085)
| v1_tsp_1(X8085,X8084)
| ~ m1_subset_1(X8085,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ l1_pre_topc(X8084) )
& ( r2_hidden(esk46_2(X8084,X8085),X8085)
| v1_tsp_1(X8085,X8084)
| ~ m1_subset_1(X8085,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ l1_pre_topc(X8084) )
& ( esk45_2(X8084,X8085) != esk46_2(X8084,X8085)
| v1_tsp_1(X8085,X8084)
| ~ m1_subset_1(X8085,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ l1_pre_topc(X8084) )
& ( ~ m1_subset_1(X8092,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ v3_pre_topc(X8092,X8084)
| ~ r2_hidden(esk45_2(X8084,X8085),X8092)
| r2_hidden(esk46_2(X8084,X8085),X8092)
| v1_tsp_1(X8085,X8084)
| ~ m1_subset_1(X8085,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ l1_pre_topc(X8084) )
& ( ~ m1_subset_1(X8093,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ v3_pre_topc(X8093,X8084)
| r2_hidden(esk45_2(X8084,X8085),X8093)
| ~ r2_hidden(esk46_2(X8084,X8085),X8093)
| v1_tsp_1(X8085,X8084)
| ~ m1_subset_1(X8085,k1_zfmisc_1(u1_struct_0(X8084)))
| ~ l1_pre_topc(X8084) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])]) ).
cnf(c_0_30,negated_conjecture,
( ~ v1_tsp_2(esk5_2(esk1_0,X1),esk1_0)
| ~ v1_tsp_1(X1,esk1_0)
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(u1_struct_0(esk1_0)))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_31,plain,
( v3_struct_0(X1)
| v1_tsp_2(esk5_2(X1,X2),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_tsp_1(X2,X1)
| ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(u1_struct_0(X1)))) ),
inference(rw,[status(thm)],[c_0_25,c_0_17]) ).
cnf(c_0_32,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
( ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,plain,
r1_tarski(k1_xboole_0,X1),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,plain,
( r2_hidden(esk46_2(X1,X2),X2)
| v1_tsp_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
( ~ v1_tsp_1(X1,esk1_0)
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(u1_struct_0(esk1_0)))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_37,plain,
m1_subset_1(k1_xboole_0,u1_pre_topc(k2_pcomps_1(X1))),
inference(rw,[status(thm)],[c_0_32,c_0_17]) ).
cnf(c_0_38,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
( v1_tsp_1(X2,X1)
| r2_hidden(esk46_2(X1,X2),X2)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(u1_struct_0(X1)))) ),
inference(rw,[status(thm)],[c_0_35,c_0_17]) ).
cnf(c_0_40,negated_conjecture,
~ v1_tsp_1(k1_xboole_0,esk1_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,plain,
( v1_tsp_1(k1_xboole_0,X1)
| ~ l1_pre_topc(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_37])]) ).
cnf(c_0_42,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : TOP028+2 : TPTP v9.2.1. Released v3.4.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.34 % Computer : n003.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue May 5 09:55:41 EDT 2026
% 0.15/0.35 % CPUTime :
% 0.19/0.36 % start to proof: theBenchmark
% 188.99/160.26 % Version : CSE_E---1.7
% 188.99/160.26 % Problem : theBenchmark.p
% 188.99/160.26 % SZS status Theorem for theBenchmark.p
% 188.99/160.26 % SZS output start CNFRefutation
% See solution above
% 189.19/160.49 % Total time : 151.563s
%------------------------------------------------------------------------------